Optimal error estimates of a class of system of two quasi-variational inequalities

• Published in: AIMS mathematics Vol. 6; no. 6; pp. 5977 - 6001
• Main Authors: Harbi, Abida, Nemis, Nasreddine, Haiour, Mohamed
• Format: Journal Article
• Language: English
• Published: AIMS Press 2021
• Subjects: elliptic variational inequalities; finite element; iterative scheme; l∞-error estimate; system of quasi-variational inequalities with nonlinear source terms

In the present paper, the finite element approximation of a class of system of two quasi-variational inequalities with terms sources and obstacles depending on solution is analyzed. An optimal L∞-error estimate is derived, combining a modified algorithm of Bensoussan-Lions type and standard uniform...